Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Strong approximation over function fields


Authors: Qile Chen and Yi Zhu
Journal: J. Algebraic Geom. 27 (2018), 703-725
DOI: https://doi.org/10.1090/jag/706
Published electronically: June 8, 2018
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Abstract | References | Additional Information

Abstract:

By studying $ \mathbb{A}^1$-curves on varieties, we propose a geometric approach to the strong approximation problem over function fields of complex curves. We prove that strong approximation holds for smooth, low degree affine complete intersections with smooth boundary at infinity.


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Additional Information

Qile Chen
Affiliation: Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467-3806
Email: qile.chen@bc.edu

Yi Zhu
Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Email: yi.zhu@uwaterloo.ca

DOI: https://doi.org/10.1090/jag/706
Received by editor(s): May 19, 2016
Received by editor(s) in revised form: March 21, 2017
Published electronically: June 8, 2018
Additional Notes: The first author was supported by NSF grant DMS-1403271 and DMS-1560830.
Article copyright: © Copyright 2018 University Press, Inc.

American Mathematical Society